Open AccessTickhonov based well-condition asymptotic waveform evaluation for dual-phase-lag heat conduction
Author(s) -
Sohel Rana,
Jeevan Kanesan,
Ahmed Wasif Reza,
Harikrishnan Ramiah
Publication year - 2014
Publication title -
thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci140410104r
Subject(s) - waveform , thermal conduction , fourier transform , dual (grammatical number) , boundary value problem , phase (matter) , lag , phase lag , instability , computer science , mathematical analysis , mathematics , mechanics , physics , thermodynamics , telecommunications , quantum mechanics , art , radar , computer network , literature
The Tickhonov based well condition asymptotic waveform evaluation (TWCAWE) is presented here to study the non-Fourier heat conduction problems with various boundary conditions. In this paper, a novel TWCAWE method is proposed to overwhelm ill-conditioning of the asymptotic waveform evaluation (AWE) technique for thermal analysis and also presented for time-reliant problems. The TWCAWE method is capable to evade the instability of AWE and also efficaciously approximates the initial high frequency and delay similar as well-established numerical method, such as Runge-Kutta (R-K). Furthermore, TWCAWE method is found 1.2 times faster than the AWE and also 4 times faster than the traditional R-K method
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